Get the impression you are not insensitive (4)

I believe the answer is:

feel

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'get' is the definition.
(I know this)

I can't explain the remainder of the clue.

(Other definitions for feel that I've seen before include "Instinct" , "16A [JUDGE]" , "Experience, perceive" , "Fondle" , "impression" .)

I've seen this clue in the Evening Standard.

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